Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
96.9%96.8%3.1%0.1%0%0%0%6
98.4%98.3%1.6%0.1%0%0%0%7
99.2%99.1%0.8%0.1%0%0%0%8
99.6%99.5%0.4%0.1%0%0%0%9
99.8%99.7%0.2%0.1%0%0%0%10
99.9%99.8%0.1%0.1%0%0%0%11
100%99.9%0%0.1%0%0%0%12
Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.0s (12.9%)

Memory
13.6MiB live, 1 238.7MiB allocated
Samples
617.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 364.0ms
ival-mult: 218.0ms (59.9% of total)
ival-div: 50.0ms (13.7% of total)
ival-add: 48.0ms (13.2% of total)
ival-sub: 34.0ms (9.3% of total)
ival-true: 6.0ms (1.6% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain1.6s (20.3%)

Memory
1.1MiB live, 154.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-0-(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
110-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) y)
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))o/o1090
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow58
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))overflow109
(*.f64 x x)overflow62
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow58
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))overflow109
(*.f64 x x)overflow62
/.f64(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))u/u110
(*.f64 (*.f64 y #s(literal 4 binary64)) y)underflow62
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))underflow11
(*.f64 x x)underflow65
(*.f64 (*.f64 y #s(literal 4 binary64)) y)underflow62
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))underflow11
(*.f64 x x)underflow65
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))nan-rescue110
(*.f64 x x)overflow62
(*.f64 (*.f64 y #s(literal 4 binary64)) y)overflow58
Confusion
Predicted +Predicted -
+1200
-0136
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12000
-00136
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0136
1109
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 176 to 40 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (55.7% of total)
ival-div: 3.0ms (16.7% of total)
ival-sub: 2.0ms (11.1% of total)
ival-add: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess41.0ms (0.5%)

Memory
1.8MiB live, 38.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02597
18597
226295
354995
4107295
5148995
6164295
7165395
0919
01519
13019
28119
319019
439019
560819
688019
789219
089217
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Outputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 19 to 9 computations (52.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Compiler

Compiled 19 to 9 computations (52.6% saved)

simplify14.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
cost-diff1
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
cost-diff1
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
01551
13051
28151
319051
439051
560851
688051
789251
089247
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
Outputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
(*.f64 (*.f64 #s(literal 4 binary64) y) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))

localize72.0ms (0.9%)

Memory
-18.4MiB live, 18.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy2.4453021791510294
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
accuracy29.4131387302166
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Samples
18.0ms256×0valid
Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.3% of total)
ival-sub: 3.0ms (28% of total)
ival-div: 1.0ms (9.3% of total)
ival-add: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(*.f64 x x)
Outputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ (* -4 (pow y 2)) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
x
@0
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
y
@inf
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
y
@-inf
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))
1.0ms
y
@0
((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x))

simplify237.0ms (3%)

Memory
6.8MiB live, 174.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115440
1326402
21092358
36285354
08250332
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -4 (pow y 2))
(- (pow x 2) (* 4 (pow y 2)))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ (* -4 (pow y 2)) (pow x 2))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
Outputs
(* -4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (pow y 2)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 4 binary64)) (*.f64 y y))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))))

rewrite212.0ms (2.7%)

Memory
-12.2MiB live, 273.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
01540
15240
238240
0562336
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 467
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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eval68.0ms (0.9%)

Memory
-18.7MiB live, 104.5MiB allocated
Compiler

Compiled 23 724 to 1 315 computations (94.5% saved)

prune11.0ms (0.1%)

Memory
-5.4MiB live, 33.9MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4956501
Fresh000
Picked101
Done000
Total4966502
Accuracy
99.9%
Counts
502 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
53.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
52.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
50.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
51.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
49.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 308 to 154 computations (50% saved)

simplify94.0ms (1.2%)

Memory
40.3MiB live, 78.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
cost-diff0
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 #s(literal -8 binary64) (/.f64 y x))
cost-diff0
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031205
048201
1101197
2240197
3569197
41304197
52523197
63741197
73901197
83905197
93905197
104033197
114089197
124089197
04089197
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
#s(literal -8 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
#s(literal -4 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
#s(literal -8 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
#s(literal 1 binary64)

localize119.0ms (1.5%)

Memory
-5.1MiB live, 114.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
accuracy0.1640625
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
accuracy31.431576073534472
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
accuracy0.0
(/.f64 y x)
accuracy0.037671313241307514
(*.f64 #s(literal -8 binary64) (/.f64 y x))
accuracy0.08203125
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
accuracy31.224118717803687
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
accuracy32.3263601350863
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
accuracy0.0
(*.f64 #s(literal 4 binary64) y)
accuracy0.00390625
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
accuracy2.4492084291510294
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
accuracy29.4131387302166
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
Samples
47.0ms256×0valid
Compiler

Compiled 390 to 63 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 18.0ms (58.3% of total)
ival-div: 6.0ms (19.4% of total)
ival-add: 4.0ms (12.9% of total)
ival-sub: 2.0ms (6.5% of total)
exact: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-6.9MiB live, 30.5MiB allocated
Counts
16 → 34
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (/ x y))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(pow y 2)
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms
x
@0
((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms
y
@0
((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms
y
@inf
((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y))
3.0ms
y
@-inf
((/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (+ (* (* 4 y) y) (* x x)) (* 4 y))

simplify187.0ms (2.4%)

Memory
0.6MiB live, 153.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130500
1368466
21228422
37035418
08247388
Stop Event
iter limit
node limit
Counts
34 → 34
Calls
Call 1
Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(* -4 (pow y 2))
(+ (* -4 (pow y 2)) (pow x 2))
(pow x 2)
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ y x))
(/ y x)
(* 1/2 (/ (pow x 2) (pow y 2)))
(* 1/2 (/ x y))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(pow y 2)
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(* 4 y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(* -4 (pow y 2))
(*.f64 #s(literal -4 binary64) (*.f64 y y))
(+ (* -4 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -8 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y)
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* -8 (/ y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/ y x)
(/.f64 y x)
(* 1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* 4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 4 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))

rewrite272.0ms (3.5%)

Memory
6.3MiB live, 381.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031188
048184
1178172
21268172
08606170
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 031
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
Outputs
(*.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64))))
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(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 x x))
(fma.f64 y (fabs.f64 (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (fabs.f64 (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (*.f64 y #s(literal -4 binary64))) (*.f64 x x))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 x x))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 y (*.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) y))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64)))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal -4 binary64)))) y))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (neg.f64 y)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 y #s(literal -4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) y))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval165.0ms (2.1%)

Memory
7.8MiB live, 271.7MiB allocated
Compiler

Compiled 47 204 to 2 820 computations (94% saved)

prune23.0ms (0.3%)

Memory
-16.3MiB live, 72.6MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 08451 089
Fresh101
Picked145
Done000
Total1 08691 095
Accuracy
99.9%
Counts
1 095 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
53.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
52.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
51.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
50.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
51.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
49.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 563 to 273 computations (51.5% saved)

simplify128.0ms (1.6%)

Memory
21.6MiB live, 136.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff2
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
cost-diff2
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff9
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff18
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
cost-diff1
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
cost-diff2
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
cost-diff8
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
cost-diff0
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
cost-diff0
(*.f64 y #s(literal -4 binary64))
cost-diff2
(neg.f64 (neg.f64 x))
cost-diff9
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065727
0107703
1222645
2685605
32999575
47336575
08386555
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 x x)
x
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(neg.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x (/.f64 x y))
x
(/.f64 x y)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/.f64 y x)
y
x
#s(literal -8 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 64 binary64)
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)
y
#s(literal -4 binary64)
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 y (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 x x)
x
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 x x)
(neg.f64 (neg.f64 x))
x
(neg.f64 x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))))
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
x
(/.f64 x y)
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
(fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)))
(*.f64 #s(literal 8 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
y
x
#s(literal -8 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 64 binary64)
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))

localize194.0ms (2.5%)

Memory
-13.0MiB live, 231.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19140625
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy18.50375350143525
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy28.67633349747748
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
accuracy0.14947133791597816
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
accuracy0.19140625
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy28.666235987709037
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
accuracy0.19140625
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy0.19140625
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
accuracy26.028729862633725
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
accuracy0.0
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
accuracy0.08984375
(*.f64 x (/.f64 x y))
accuracy1.238371295370617
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
accuracy31.431576073534472
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
accuracy0.00390625
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
accuracy0.07421875
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
accuracy17.049069633531843
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
accuracy22.189761460741536
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
Samples
122.0ms256×0valid
Compiler

Compiled 1 323 to 132 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 30.0ms (40.7% of total)
ival-div: 13.0ms (17.6% of total)
ival-sub: 12.0ms (16.3% of total)
ival-add: 8.0ms (10.9% of total)
ival-pow: 4.0ms (5.4% of total)
ival-neg: 3.0ms (4.1% of total)
ival-pow2: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.8%)

Memory
-7.9MiB live, 111.5MiB allocated
Counts
28 → 107
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(neg.f64 (neg.f64 x))
(*.f64 y #s(literal -4 binary64))
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 x (/.f64 x y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
x
(/ 1/4 y)
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(* 64 (/ (pow y 4) (pow x 4)))
(* 8 (/ (pow y 2) (pow x 2)))
(* -64 (/ (pow y 4) (pow x 4)))
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4))
(* 8 (/ y x))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -512 (/ (pow y 6) (pow x 6)))
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6))
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2))
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4))
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(/ (pow x 2) y)
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(/ y (pow x 2))
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -64 (/ (pow y 4) (pow x 4))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4))))))))
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2))))
(- (* -8 (/ (pow y 2) (pow x 2))) 1)
(+ 1 (* 16 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* -4 y)
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4)))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2)))))))
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2))))))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
y
@inf
((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))))
14.0ms
x
@0
((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))))
9.0ms
y
@0
((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))))
7.0ms
x
@inf
((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))))
7.0ms
y
@-inf
((+ (* (* y -4) (/ y (+ (* (* 4 y) y) (* x x)))) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x)))) (neg (neg x)) (* y -4) (/ y (+ (* (* 4 y) y) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ 1/2 y) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (neg (* (/ y x) -8)) (+ 1 (* 8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ 1 (* 8 (pow (/ y x) 2))))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (/ (* (neg (neg x)) x) (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* x (/ x y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ 1 (* 8 (pow (/ y x) 2)))) (pow (/ y x) 2) (pow (/ y x) 4) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))))

simplify165.0ms (2.1%)

Memory
2.9MiB live, 194.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04772307
115242161
253902119
084951979
Stop Event
iter limit
node limit
Counts
107 → 106
Calls
Call 1
Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
x
(/ 1/4 y)
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y)))
(* 64 (/ (pow y 4) (pow x 4)))
(* 8 (/ (pow y 2) (pow x 2)))
(* -64 (/ (pow y 4) (pow x 4)))
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4))
(* 8 (/ y x))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -512 (/ (pow y 6) (pow x 6)))
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6))
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2))
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4))
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(/ (pow x 2) y)
(/ (pow y 2) (pow x 2))
(/ (pow y 4) (pow x 4))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(/ y (pow x 2))
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
(+ 1 (* -64 (/ (pow y 4) (pow x 4))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4))))))))
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2))))
(- (* -8 (/ (pow y 2) (pow x 2))) 1)
(+ 1 (* 16 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* -4 y)
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2))
(/ 1/2 y)
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4)))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2)))))))
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2))))))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))
Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
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(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -512 binary64) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal 64 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y)
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) y))
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) y)
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64)))) y)
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x x)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x))))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x x)))))
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x))))))
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 512 binary64) (/.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) (pow.f64 y #s(literal 6 binary64)))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 y y))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y))
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64)) (*.f64 y y))
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1/4 binary64)) y))
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (*.f64 x x) y) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 y))
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/4 binary64)))) (neg.f64 y))

rewrite283.0ms (3.6%)

Memory
26.8MiB live, 261.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065568
0107488
1402375
23220375
010764359
Stop Event
iter limit
node limit
iter limit
Counts
28 → 898
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(neg.f64 (neg.f64 x))
(*.f64 y #s(literal -4 binary64))
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 x (/.f64 x y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (/.f64 (neg.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 y x) #s(literal 12 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (/.f64 y x) #s(literal 8 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 y) x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -512 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 #s(literal -8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))
(+.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))))
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 8 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) (/.f64 y x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (neg.f64 y) (/.f64 y x))) x)
(/.f64 (fabs.f64 (*.f64 y (/.f64 y x))) x)
(/.f64 (fabs.f64 (*.f64 (/.f64 y x) (neg.f64 y))) x)
(/.f64 (fabs.f64 (*.f64 (/.f64 y x) y)) x)
(/.f64 (fabs.f64 (*.f64 (neg.f64 y) y)) (*.f64 x x))
(/.f64 (fabs.f64 (*.f64 y (neg.f64 y))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (neg.f64 x))
(/.f64 (*.f64 y (/.f64 y x)) x)
(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 y x) y) x)
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 y y) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (/.f64 y x)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64) (log.f64 (/.f64 y x))))
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (sinh.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))

eval249.0ms (3.2%)

Memory
-12.2MiB live, 220.4MiB allocated
Compiler

Compiled 75 410 to 5 274 computations (93% saved)

prune67.0ms (0.9%)

Memory
-0.9MiB live, 74.9MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 26251 267
Fresh000
Picked415
Done044
Total1 266101 276
Accuracy
99.9%
Counts
1 276 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
53.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
52.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
51.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
50.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
51.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
49.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 659 to 296 computations (55.1% saved)

simplify357.0ms (4.6%)

Memory
-9.3MiB live, 212.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
cost-diff2
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
cost-diff8
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64))
cost-diff18
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
cost-diff2
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))
cost-diff2
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff9
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff18
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
cost-diff2
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
cost-diff2
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
cost-diff2
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
cost-diff8
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
cost-diff9
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061904
0106872
1234787
2739707
33623677
08406651
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 y y)
#s(literal 4 binary64)
(*.f64 x x)
x
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(/.f64 y x)
y
x
#s(literal -8 binary64)
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (/.f64 y x))
#s(literal 8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (/.f64 y x))
#s(literal 8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 64 binary64)
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64))
(/.f64 (*.f64 (/.f64 y x) y) x)
(*.f64 (/.f64 y x) y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64))
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
#s(literal 64 binary64)
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
Outputs
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
#s(literal 4 binary64)
(*.f64 x x)
x
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))) x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
(fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))
(neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)))
(*.f64 #s(literal 8 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -8 binary64))
(*.f64 #s(literal -8 binary64) (/.f64 y x))
(/.f64 y x)
y
x
#s(literal -8 binary64)
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (/.f64 y x))
#s(literal 8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
(/.f64 y x)
y
x
#s(literal 6 binary64)
#s(literal -512 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 64 binary64)
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 8 binary64) (/.f64 y x))
#s(literal 8 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64))
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(/.f64 y x)
y
x
#s(literal 4 binary64)
#s(literal 64 binary64)
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(/.f64 (*.f64 (/.f64 y x) y) x)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 (/.f64 y x) y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
(fma.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64))
(-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(literal -8 binary64)
#s(literal 1 binary64)
#s(literal 64 binary64)
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))

localize333.0ms (4.3%)

Memory
-1.2MiB live, 190.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19140625
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy18.49984725143525
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
accuracy28.67633349747748
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
accuracy3.554876251416339
(/.f64 (*.f64 (/.f64 y x) y) x)
accuracy18.50375350143525
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy28.67633349747748
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
accuracy0.11269384768442019
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
accuracy0.14947133791597816
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
accuracy28.666235987709037
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
accuracy0.10384750976844201
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
accuracy0.19140625
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
accuracy26.028729862633725
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
accuracy30.23865287111034
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
accuracy0.0078125
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
accuracy0.07421875
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
accuracy17.070085836462603
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
accuracy22.189761460741536
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
Samples
218.0ms256×0valid
Compiler

Compiled 1 663 to 124 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-sub: 59.0ms (38.1% of total)
ival-pow: 41.0ms (26.5% of total)
ival-mult: 31.0ms (20% of total)
ival-div: 12.0ms (7.8% of total)
ival-add: 7.0ms (4.5% of total)
ival-pow2: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (1.1%)

Memory
5.7MiB live, 43.4MiB allocated
Counts
28 → 105
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 y x) y) x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
Outputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(/ -1 y)
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y))
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 5))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 7))) (* 1/16 (/ 1 (pow y 5))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 64 (/ (pow y 4) (pow x 4)))
(* 8 (/ (pow y 2) (pow x 2)))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(* -64 (/ (pow y 4) (pow x 4)))
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -512 (/ (pow y 6) (pow x 6)))
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6))
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2))
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4))
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(/ (pow y 4) (pow x 4))
(/ (pow y 6) (pow x 6))
(/ (pow y 2) (pow x 2))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(* -4 (/ y (pow x 2)))
(/ (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2))))) (pow x 2))
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (+ (* 16 (/ (pow y 3) (pow x 2))) (* 256 (/ (pow y 7) (pow x 6)))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -64 (/ (pow y 4) (pow x 4))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4))))))))
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2))))
(- (* -8 (/ (pow y 2) (pow x 2))) 1)
(+ 1 (* 16 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))
(/ (- (* -64 (/ (pow y 4) (pow x 2))) (* -8 (pow y 2))) (pow x 2))
(/ (- (+ (* -512 (/ (pow y 6) (pow x 4))) (* -64 (/ (pow y 4) (pow x 2)))) (* -8 (pow y 2))) (pow x 2))
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* y (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* y (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* -4 y)
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (- (* 1/4 (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) y)
(/ (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2)))))))
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2))))))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y))
(* -1 (/ (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) y))
(* -1 (/ (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) y))
Calls

6 calls:

TimeVariablePointExpression
55.0ms
y
@0
((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2))
6.0ms
y
@-inf
((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2))
5.0ms
y
@inf
((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2))
5.0ms
x
@0
((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2))
4.0ms
x
@inf
((+ (* (/ (* -4 y) (+ (* (* y y) 4) (* x x))) y) (/ (* x x) (+ (* (* y y) 4) (* x x)))) (/ (* -4 y) (+ (* (* y y) 4) (* x x))) (* -4 y) (+ (* (* y y) 4) (* x x)) (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x))) (* (neg (* (/ y x) -8)) (/ y x)) (+ (* (/ y x) (* 8 (/ y x))) 1) (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ y x) 6) -512) 1) (+ (* (pow (/ y x) 4) 64) (+ (* (/ y x) (* 8 (/ y x))) 1))) (+ (* (pow (/ y x) 6) -512) 1) (/ (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1))) (- (* (* (pow (/ y x) 4) 64) (- (* (pow (/ y x) 2) -8) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1)) (* (- (* (pow (/ y x) 2) -8) 1) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (/ (* (/ y x) y) x) -8) 1)) (/ (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1))) (+ (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) 1) (* (- (* (pow (/ y x) 2) -8) 1) (- (* (pow (/ y x) 2) -8) 1)) (- (* (* (- (* (pow (/ y x) 2) -8) 1) 64) (pow (/ y x) 4)) (* (pow (/ y x) 2) -8)) (/ (* x x) (+ (* (* y y) 4) (* x x))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- 1 (* (* (neg (* (/ y x) -8)) (/ y x)) (* (neg (* (/ y x) -8)) (/ y x)))) (+ (* (/ y x) (* 8 (/ y x))) 1)) (pow (/ y x) 4) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* (/ y x) y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (pow (/ y x) 2))

simplify229.0ms (2.9%)

Memory
-0.8MiB live, 276.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04632369
114612249
252652182
084722049
Stop Event
iter limit
node limit
Counts
105 → 105
Calls
Call 1
Inputs
-1
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(/ -1 y)
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y))
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 5))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 7))) (* 1/16 (/ 1 (pow y 5))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(* 4 (pow y 2))
(+ (* 4 (pow y 2)) (pow x 2))
(* 64 (/ (pow y 4) (pow x 4)))
(* 8 (/ (pow y 2) (pow x 2)))
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(* -64 (/ (pow y 4) (pow x 4)))
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4))
(* -8 (/ (pow y 2) (pow x 2)))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(* -512 (/ (pow y 6) (pow x 6)))
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6))
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6))
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2))
(/ (+ (* 16 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4))
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (+ (* 16 (pow y 2)) (pow x 2)))) (pow x 4))
(* 1/4 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(/ (pow y 4) (pow x 4))
(/ (pow y 6) (pow x 6))
(/ (pow y 2) (pow x 2))
1
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6))))))
(* -4 (/ y (pow x 2)))
(/ (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2)))) (pow x 2))
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (* 16 (/ (pow y 3) (pow x 2))))) (pow x 2))
(/ (+ (* -64 (/ (pow y 5) (pow x 4))) (+ (* -4 y) (+ (* 16 (/ (pow y 3) (pow x 2))) (* 256 (/ (pow y 7) (pow x 6)))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* 8 (/ (pow y 2) (pow x 2))))
(+ 1 (* -64 (/ (pow y 4) (pow x 4))))
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(+ 1 (* -512 (/ (pow y 6) (pow x 6))))
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4))))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4))))))))
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2))))
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2))))
(- (* -8 (/ (pow y 2) (pow x 2))) 1)
(+ 1 (* 16 (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))
(/ (- (* -64 (/ (pow y 4) (pow x 2))) (* -8 (pow y 2))) (pow x 2))
(/ (- (+ (* -512 (/ (pow y 6) (pow x 4))) (* -64 (/ (pow y 4) (pow x 2)))) (* -8 (pow y 2))) (pow x 2))
(+ 1 (* -4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(* y (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* y (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* -4 y)
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 16 (/ 1 (pow x 2))))))
(* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4))))))
(/ (- (* 1/4 (/ (pow x 2) (pow y 2))) 1) y)
(/ (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) y)
(/ (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4)))))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2)))))))
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4)))))
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2))))))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y))
(* -1 (/ (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) y))
(* -1 (/ (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) y))
Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1)
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1)
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/32 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* 1/4 (/ (pow x 2) (pow y 3))) (/ 1 y))
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x) x) (/.f64 #s(literal 1 binary64) y))
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 5))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(-.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 7))) (* 1/16 (/ 1 (pow y 5))))) (* 1/4 (/ 1 (pow y 3))))) (/ 1 y))
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(* 4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 4 binary64))
(+ (* 4 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(* 64 (/ (pow y 4) (pow x 4)))
(*.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* 8 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y)
(/ (+ (* 8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64))
(* -64 (/ (pow y 4) (pow x 4)))
(*.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/ (- (pow x 4) (* 64 (pow y 4))) (pow x 4))
(fma.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* -8 (/ (pow y 2) (pow x 2)))
(*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x))
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* -512 (/ (pow y 6) (pow x 6)))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (-.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/ (- (* 1/4 (/ (pow x 2) (pow y 2))) 1) y)
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x) x) (/.f64 #s(literal 1 binary64) y))
(/ (- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) y)
(-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/ (- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) y)
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) #s(literal 1 binary64)))) y)
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 4 binary64)) (*.f64 y y))
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64))
(* (pow y 4) (- (/ 1 (pow y 4)) (* 64 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)))
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x x)))))
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x))))))
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x x)))))
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x))))))
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 512 binary64) (/.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) (pow.f64 y #s(literal 6 binary64)))
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(* (pow y 4) (+ (* 16 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 16 (* (pow x 2) (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/ (+ (* -1/16 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow y 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow y 4))) (* 1/16 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y))
(* -1 (/ (+ 1 (* -1/4 (/ (pow x 2) (pow y 2)))) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 #s(literal -1 binary64) y))
(* -1 (/ (- (+ 1 (* 1/16 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) #s(literal 1 binary64))) (neg.f64 y))
(* -1 (/ (- (+ 1 (* -1/64 (/ (pow x 6) (pow y 6)))) (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) y))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 x x) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) #s(literal 1 binary64)))) (neg.f64 y))

rewrite279.0ms (3.6%)

Memory
-9.7MiB live, 360.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061683
0106578
1434443
23339443
09060426
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 346
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))
(*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))
(fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))))
(+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))
(/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 4 binary64))
(pow.f64 (/.f64 y x) #s(literal 6 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 y x) y) x)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
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(/.f64 (*.f64 (/.f64 y x) y) x)
(/.f64 (*.f64 y y) (*.f64 x x))
(neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))

eval239.0ms (3.1%)

Memory
18.2MiB live, 358.7MiB allocated
Compiler

Compiled 84 882 to 5 875 computations (93.1% saved)

prune73.0ms (0.9%)

Memory
-23.0MiB live, 111.4MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1 38741 391
Fresh000
Picked325
Done055
Total1 390111 401
Accuracy
99.9%
Counts
1 401 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
53.0%
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
52.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
51.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
51.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 8 binary64)) x) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
51.3%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
50.9%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
51.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
49.5%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 1 467 to 367 computations (75% saved)

regimes35.0ms (0.4%)

Memory
-4.7MiB live, 76.1MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) y (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 8 binary64)) x) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 8 binary64) (/.f64 y x)) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
Calls

5 calls:

9.0ms
x
7.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
6.0ms
y
6.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
6.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
84.8%3x
85.5%3y
78.8%2(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
84.8%3(*.f64 x x)
85.5%3(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes9.0ms (0.1%)

Memory
24.7MiB live, 24.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
79.4%2x
79.4%2(*.f64 x x)
80.5%2y
80.5%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes5.0ms (0.1%)

Memory
-16.6MiB live, 22.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
Calls

2 calls:

3.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Results
AccuracySegmentsBranch
80.5%2y
80.5%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes4.0ms (0%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
Calls

2 calls:

2.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Results
AccuracySegmentsBranch
80.2%2y
80.2%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Calls

2 calls:

1.0ms
y
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Results
AccuracySegmentsBranch
79.8%2y
79.8%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes7.0ms (0.1%)

Memory
-22.3MiB live, 16.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Calls

5 calls:

2.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
1.0ms
(*.f64 x x)
1.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Results
AccuracySegmentsBranch
49.5%1(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
49.5%1x
49.5%1(*.f64 x x)
49.5%1y
49.5%1(*.f64 (*.f64 y #s(literal 4 binary64)) y)
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.784615184953401e+154
3.876385809465097e+156
0.0ms
2.126290811841485e-227
1.7061733483655365e-221
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.428402086781574e-110
7.304998142065342e-105
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.428402086781574e-110
7.304998142065342e-105
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.428402086781574e-110
7.304998142065342e-105
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch12.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
6.428402086781574e-110
7.304998142065342e-105
Samples
6.0ms144×0valid
Compiler

Compiled 396 to 230 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (31.3% of total)
ival-div: 1.0ms (31.3% of total)
ival-add: 1.0ms (31.3% of total)
ival-mult: 1.0ms (31.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify46.0ms (0.6%)

Memory
-29.8MiB live, 51.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056385
183385
2155385
3307385
4666385
51266385
62445385
72703385
82705385
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8535058474086213/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8779649585495489/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Outputs
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8535058474086213/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (* (* 1/2 (/ x y)) (/ x y)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 8779649585495489/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))

soundness723.0ms (9.3%)

Memory
19.8MiB live, 500.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115440
1326402
21092358
36285354
08250332
0940
01540
15240
238240
0562336
0130500
1368466
21228422
37035418
08247388
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 534 to 146 computations (72.7% saved)

preprocess51.0ms (0.7%)

Memory
6.2MiB live, 120.8MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 1 346 to 330 computations (75.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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